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Simplifying 10(a + 8) = 4[a + -1(9 + -1a)] Reorder the terms: 10(8 + a) = 4[a + -1(9 + -1a)] (8 * 10 + a * 10) = 4[a + -1(9 + -1a)] (80 + 10a) = 4[a + -1(9 + -1a)] 80 + 10a = 4[a + (9 * -1 + -1a * -1)] 80 + 10a = 4[a + (-9 + 1a)] Reorder the terms: 80 + 10a = 4[-9 + a + 1a] Combine like terms: a + 1a = 2a 80 + 10a = 4[-9 + 2a] 80 + 10a = [-9 * 4 + 2a * 4] 80 + 10a = [-36 + 8a] Solving 80 + 10a = -36 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 80 + 10a + -8a = -36 + 8a + -8a Combine like terms: 10a + -8a = 2a 80 + 2a = -36 + 8a + -8a Combine like terms: 8a + -8a = 0 80 + 2a = -36 + 0 80 + 2a = -36 Add '-80' to each side of the equation. 80 + -80 + 2a = -36 + -80 Combine like terms: 80 + -80 = 0 0 + 2a = -36 + -80 2a = -36 + -80 Combine like terms: -36 + -80 = -116 2a = -116 Divide each side by '2'. a = -58 Simplifying a = -58
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